Triangulations of polygons and stacked simplicial complexes: separating their Stanley–Reisner ideals
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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2023-05
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Language
en
Pages
28
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Journal of Algebraic Combinatorics, Volume 57, issue 3, pp. 659–686
Abstract
A triangulation of a polygon has an associated Stanley–Reisner ideal. We obtain a full algebraic and combinatorial understanding of these ideals and describe their separated models. More generally, we do this for stacked simplicial complexes, in particular for stacked polytopes.Description
Funding Information: We thank Lars Hällström, Veronica Crispin Quinonez, Russ Woodroofe and the anonymous referee for all their comments, which improved this paper. In particular, Lars Hällström suggested the conceptual gain of indexing the variables in by pairs of edges and vertices (e, v) such that , instead of letting the variables be indexed by , as we did in a preliminary version of this article. The second author was supported by the Finnish Academy of Science and Letters, with the Vilho, Yrjö and Kalle Väisälä Fund. Publisher Copyright: © 2022, The Author(s).
Keywords
Independent vertices, Regular sequence, Separation of ideal, Stacked simplicial complex, Triangulation of polygon
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Citation
Fløystad, G & Orlich, M 2023, ' Triangulations of polygons and stacked simplicial complexes : separating their Stanley–Reisner ideals ', Journal of Algebraic Combinatorics, vol. 57, no. 3, pp. 659–686 . https://doi.org/10.1007/s10801-022-01174-7